30309088128 has 256 divisors, whose sum is σ = 91256544000. Its totient is φ = 8831877120.

The previous prime is 30309088127. The next prime is 30309088141. The reversal of 30309088128 is 82188090303.

It is a self number, because there is not a number n which added to its sum of digits gives 30309088128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30309088123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13908543 + ... + 13910721.

It is an arithmetic number, because the mean of its divisors is an integer number (356470875).

Almost surely, 2^30309088128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30309088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45628272000).

30309088128 is an abundant number, since it is smaller than the sum of its proper divisors (60947455872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30309088128 is a wasteful number, since it uses less digits than its factorization.

30309088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 30309088128 in words is "thirty billion, three hundred nine million, eighty-eight thousand, one hundred twenty-eight".